Sewing machine needle, method for producing a sewing machine needle, and sewing method

Sewing machine needle (1) comprising:

• a blade (5), which extends substantially in a longitudinal direction (L) of the needle (1),
• an eye (6), which passes through the needle (1) substantially in an elevational direction (H) of the needle, the elevational direction (H) of the needle (1) being perpendicular to the longitudinal direction (L);
• a scarf (10), which precedes the eye (6) in the longitudinal direction (L) of the needle (1), the scarf's (10) having a contour (11) recessed in the elevational direction (H) of the needle (1) in comparison with a contour of the blade (5),
• wherein a maximum cross-sectional area of the needle (1) in a portion (9) of the scarf (10) along a longitudinal extension of the needle (1) is between 60% and 80% of a smallest cross-sectional area, measured perpendicular to the longitudinal direction (L) of the needle (1), in an area over which a remainder of the blade (12) extends longitudinally and
• wherein, in the portion (9) of the scarf (10), the needle (1) has a maximum reach (h) in the elevational direction (H) that is between 55% and 75% of a maximum reach (b) of the needle (1) in a lateral direction (B) in the portion (9) of the scarf (10), and
• wherein, at least in a section of the scarf's (10) extension in the longitudinal direction (L) of the needle (1), the contour (11) of the scarf (10) in a sectional plane through the portion (9) of the scarf (10) perpendicular to the longitudinal direction (L) of the needle (1) is configured to be shaped substantially as an arc of a circle,
• wherein the circular-arc-shaped section covers a first angular portion (wl) of a circumference (3) of the needle (1),
• wherein:
• a radius (r) of the contour in the first angular portion (wl) of the circumference (3) in the section of the scarf's (10) extension in the longitudinal direction (L) of the needle (1) is between 45% and 60% of the maximum reach (b) of the needle (1) in the lateral direction (B),
• the lateral direction (B) being perpendicular to the longitudinal (L) and elevational (H) directions of the needle (1).